Affiliations: [a]
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
| [b]
Department of Mathematics, Padima Janakalyan Banipith, Kukurakhupi, India
| [b]
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
Correspondence:
[*]
Corresponding author. Chiranjibe Jana, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India. Tel.: +91 9647135650; E-mail: jana.chiranjibe7@gmail.com.
Abstract: In this paper, we first introduce the concept of quasi-coincidence of an intuitionistic fuzzy point within an intuitionistic fuzzy set. By using this new idea, we further introduce the notions of (∈, ∈ ∨ q)-intuitionistic fuzzy BCI-subalgebras of BCI-algebras and investigate some of their related properties. Some characterization theorems of these generalized intuitionistic fuzzy BCI-subalgebras are derived. Then we study the cartesian product of (∈, ∈ ∨ q)-intuitionistic fuzzy BCI-subalgebras. Finally, we introduce the homomorphism of intuitionistic fuzzy BCI-algebras, and prove that image and inverse image of an intuitionistic fuzzy set on a BCI-algebra should be an (∈, ∈ ∨ q)-intuitionistic fuzzy BCI-subalgebra on the basis of homomorphism of BCI-algebra.
